Atkin-Lehner |
3- 5+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
8715j |
Isogeny class |
Conductor |
8715 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
301450412025 = 36 · 52 · 74 · 832 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 0 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-36604,2692277] |
[a1,a2,a3,a4,a6] |
Generators |
[31:1244:1] |
Generators of the group modulo torsion |
j |
5423658002508401209/301450412025 |
j-invariant |
L |
5.9254640698131 |
L(r)(E,1)/r! |
Ω |
0.91769216528826 |
Real period |
R |
1.0761531833048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
26145t2 43575b2 61005j2 |
Quadratic twists by: -3 5 -7 |